Heat oven to 350°. Mix crushed crackers and butter until well blended. Press evenly in bottom of springform pan, 9x3 inches. Bake 8 to 10 minutes or until golden brown.
Meanwhile, beat cream cheese in large bowl with electric mixer on medium speed until smooth. Add whipping cream and eggs; beat until smooth. Stir in cheese, ham, bell peppers, onions and thyme. Spoon evenly over crust in pan.
Bake 45 to 55 minutes or until center is set. Run knife around edge of cheesecake to loosen. Cool completely, about 1 hour. Cover and refrigerate at least 2 hours but no longer than 48 hours.
Remove side of pan. Place cheesecake on serving platter. Cut into wedges. Serve with crackers.